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TableĀ 1 The LT of the new extensions of Wiman and Prabhakar functions with the power-law functions [ 28 ]

From: An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type

The Wiman and Prabhakar functions with the power-law functions LT
\(\chi ^{\varpi +\theta -1}E_{\vartheta ,\varpi +\theta } ( {\chi ^{\vartheta}} )\) \(\xi ^{- ( {\varpi +\theta } )} ( {1-\xi ^{-\vartheta }} )^{-1}\)
\(\chi ^{\varpi +\theta -1}E_{\vartheta ,\varpi +\theta }^{\tau}( {\chi ^{\vartheta}} )\) \(\xi ^{- ( {\varpi +\theta } )} ( {1-\xi ^{-\vartheta }} )^{-\tau }\)